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Popular Functions >

f(x)=x^2(4x^2-1)^{3/4}

Solution

f (x) = x^{2} (4 x^{2} - 1)^{\frac{3}{4}}

Solution

Domain : x \leq - \frac{1}{2} or x \geq \frac{1}{2}

Range : f (x) \geq 0

X Intercepts : (\frac{1}{2}, 0), (- \frac{1}{2}, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, 0), Minimum (\frac{1}{2}, 0)

+1

Interval Notation

Domain : (- \infty, - \frac{1}{2}] \cup [\frac{1}{2}, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} (4 x^{2} - 1)^{\frac{3}{4}} : x \leq - \frac{1}{2} or x \geq \frac{1}{2}

Range of

x^{2} (4 x^{2} - 1)^{\frac{3}{4}} : f (x) \geq 0

Axis interception points of

x^{2} (4 x^{2} - 1)^{\frac{3}{4}} :

X Intercepts

: (\frac{1}{2}, 0), (- \frac{1}{2}, 0)

Asymptotes of

x^{2} (4 x^{2} - 1)^{\frac{3}{4}} :

None

Extreme Points of

x^{2} (4 x^{2} - 1)^{\frac{3}{4}} :

Minimum

(- \frac{1}{2}, 0),

Minimum

(\frac{1}{2}, 0)

Graph

Popular Examples

f(x)=6x^4+7x^3-4

y=(16x+1)/(x^{-2)}

f(x)= 3/((x^2))

f(x)=(2+3sin(x))/(cos^2(x))

Frequently Asked Questions (FAQ)

What is the f(x)=x^2(4x^2-1)^{3/4} ?
The f(x)=x^2(4x^2-1)^{3/4} is